Two-layer hydraulic falls over an obstacle
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Cited by (20)
Interfacial hydroelastic hydraulic falls and trapped waves over bottom obstacles
2023, Journal of Fluids and StructuresThe hyperbolic relaxation systems for the forced KdV equations with hydraulic falls
2016, European Journal of Mechanics, B/FluidsA simple and robust boundary treatment for the forced Korteweg-de Vries equation
2014, Communications in Nonlinear Science and Numerical SimulationThe influence of surface tension upon trapped waves and hydraulic falls
2014, European Journal of Mechanics, B/FluidsNumerical stability of symmetric solitary-wave-like waves of a two-layer fluid - Forced modified KdV equation
2012, Mathematics and Computers in SimulationCitation Excerpt :There have been great interests in studying interfacial waves of a fluid and many interesting features of the waves have been found by different researchers. Steady waves of two-layer fluids have been studied numerically by Sha and Vanden-Broeck [16], Forbes [10], Dias and Vanden-Broeck [8], among others, and asymptotically by Choi, Sun, and Shen [6,7], Choi [5], Shen, Monohar and Gong [18], and many more. A rigorous justification of the formal asymptotic method in a perfect gas was given by Shen and Sun [17].
Two-dimensional travelling waves over a moving bottom
2010, Journal of Differential Equations
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